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Finding the Third Proportional to 421,375.50 and 928,644.75

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Solution

The third proportional to 421,375.50 and 928,644.75 is: 2,046,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,375.50 : 928,644.75 = 928,644.75 : x
  2. Step 2: Convert to fraction form
    421,375.50/928,644.75 = 928,644.75/x
  3. Step 3: Cross multiply
    421,375.50x = 928,644.75 × 928,644.75
  4. Step 4: Simplify right side
    421,375.50x = 862,381,071,702.56
  5. Step 5: Solve for x
    x = 862,381,071,702.56/421,375.50
  6. Step 6: Final answer
    x = 2,046,585.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.